Automatic mesh-free boundary analysis: Multi-objective optimization

A. Araujo; F. Martins; W. Velez; A. Portela

首页> 外文期刊>Engineering analysis with boundary elements >Automatic mesh-free boundary analysis: Multi-objective optimization

【24h】

Automatic mesh-free boundary analysis: Multi-objective optimization

机译：自动网眼边界分析：多目标优化

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

The paper is concerned with the numerical solution of two-dimensional potential problems, through a mesh-free boundary model in a multi-objective optimization framework that automatically generates Pareto-optimal mesh-free discretization arrangements. This robust new strategy of analysis allows for simultaneously improving the solution accuracy, the conditioning of the numerical solver, the stability and efficiency of the mesh-free analysis. The boundary mesh-free model (BMFM) is built on the boundary integral equation of the Laplace potential, with a moving least squares (MLS) approximation of variables. The model considers independent MLS approximations in each boundary segment and performs integration with standard numerical quadrature. The main novelty of the paper is the automatic generation of Pareto-optimal nodal arrangements and corresponding compact supports of the mesh-free boundary model, by means of an evolutionary multi-objective optimization process, based on genetic algorithms, which uses reliable very efficient objective functions. A benchmark problem is presented to assess the accuracy and efficiency of the modeling strategy. The remarkably accurate results obtained, in perfect agreement with those of analytical solutions, make very reliable this robust new strategy of automatic mesh-free boundary analysis in a multi-objective optimization framework.

机译：本文涉及的二维潜在问题在多目标优化框架的数值解，通过一个无网格边界模型自动生成帕累托最优无网格的离散化的安排。这种分析强大的新策略允许用于同时提高解的精度，数值解算器中，无网格分析的稳定性和效率的调节。边界无网格模型（BMFM）是建立在拉普拉斯电位的边界积分方程，以变量的移动最小二乘（MLS）近似。该模型考虑了与标准的数值积分每个边界段和执行积分独立MLS近似值。本文的主要新颖之处在于自动生成帕累托最优节点安排和相应的无网格边界模型的紧凑支持物，通过一个进化多目标优化过程的手段，基于遗传算法，它使用可靠非常有效的目标的职能。基准测试问题提交给评估建模策略的准确性和效率。在非常精确的结果得到的，在与分析解决方案完全一致，使自动无网格边界分析在多目标优化框架非常可靠的这个强大的新战略。

著录项

来源
《Engineering analysis with boundary elements》 |2021年第4期|264-279|共16页
作者
A. Araujo; F. Martins; W. Velez; A. Portela;
展开▼
作者单位

Department of Civil and Environmental Engineering Faculty of Technology University of Brasilia Brasilia-DF 70910-900 Brazil;

Department of Civil and Environmental Engineering Faculty of Technology University of Brasilia Brasilia-DF 70910-900 Brazil;

Department of Civil and Environmental Engineering Faculty of Technology University of Brasilia Brasilia-DF 70910-900 Brazil;

Department of Civil and Environmental Engineering Faculty of Technology University of Brasilia Brasilia-DF 70910-900 Brazil;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Mesh-free boundary model; Mesh-free nodal arrangement optimization; Mesh-free discretization optimization; Corner difference of potentials objective function; Condition number objective function; Flux equilibrium objective function;

机译：无网界模型;无网的节点布置优化;无网的离散化优化;电位目标函数的角差;条件号目标函数;通量平衡目标函数;

Automatic mesh-free boundary analysis: Multi-objective optimization

摘要

著录项

相关主题

期刊订阅